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Solutions and optimality criteria to box constrained nonconvex minimization problems

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dc.contributorVirginia Techen
dc.contributor.authorGao, D. Y.en
dc.contributor.departmentMathematicsen
dc.contributor.departmentIndustrial and Systems Engineeringen
dc.date.accessed2014-05-09en
dc.date.accessioned2014-05-14T13:23:41Zen
dc.date.available2014-05-14T13:23:41Zen
dc.date.issued2007-05-01en
dc.description.abstractThe design of elastic structures to optimize strength and economy of materials is a fundamental problem in structural engineering and related areas of applied mathematics. In this article we explore a finite dimensional framework for approximate solution of such design problems based on linear elasticity with a range of elastic coefficients assumed available as design parameters. Solution methods for related optimization problems based on the matrix trace norm are suggested and analyzed, providing existence and uniqueness theorems. Results of computations for sample problems are presented and compared with parallel results in the literature based on other approaches.en
dc.description.sponsorshipNSF CCF-0514768en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationGao, D. Y., "Solutions and optimality criteria to box constrained nonconvex minimization problems," J. Industrial and Management Optimization 3(2), 293-304, (2007); DOI: 10.3934/cpaa.2011.10.1517en
dc.identifier.doihttps://doi.org/10.3934/cpaa.2011.10.1517en
dc.identifier.issn1547-5816en
dc.identifier.urihttp://hdl.handle.net/10919/47977en
dc.identifier.urlhttp://www.aimsciences.org/journals/displayArticles.jsp?paperID=2264en
dc.language.isoenen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectStructural optimizationen
dc.subjectLinear elastic systemsen
dc.subjectConvex programmingen
dc.subjectGradient projection methoden
dc.subjectConstraintsen
dc.subjectMathematics, applieden
dc.subjectMathematicsen
dc.titleSolutions and optimality criteria to box constrained nonconvex minimization problemsen
dc.title.serialJournal of Industrial and Management Optimizationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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